164463811680 has 576 divisors, whose sum is σ = 638737202880. Its totient is φ = 35404185600.

The previous prime is 164463811621. The next prime is 164463811693. The reversal of 164463811680 is 86118364461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27962340 + ... + 27968220.

It is an arithmetic number, because the mean of its divisors is an integer number (1108918755).

Almost surely, 2^164463811680 is an apocalyptic number.

164463811680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164463811680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319368601440).

164463811680 is an abundant number, since it is smaller than the sum of its proper divisors (474273391200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164463811680 is a wasteful number, since it uses less digits than its factorization.

164463811680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5983 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 164463811680 in words is "one hundred sixty-four billion, four hundred sixty-three million, eight hundred eleven thousand, six hundred eighty".